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Finding the Fourth Proportional to 6,516.94, 9,775.42 and 1,586.55

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Solution

The fourth proportional to 6,516.94, 9,775.42 and 1,586.55 is: 2,379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.94 : 9,775.42 = 1,586.55 : x
  2. Step 2: Convert to fraction form
    6,516.94/9,775.42 = 1,586.55/x
  3. Step 3: Cross multiply
    6,516.94x = 9,775.42 × 1,586.55
  4. Step 4: Simplify right side
    6,516.94x = 15,509,192.60
  5. Step 5: Solve for x
    x = 15,509,192.60/6,516.94
  6. Step 6: Final answer
    x = 2,379.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.